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arXiv 1202.6174cs.RO
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k色多机器人运动规划

k-Color Multi-Robot Motion Planning

Tel-Aviv University(特拉维夫大学)

Kiril Solovey, Dan Halperin

摘要:

我们提出了一个简单而自然的扩展的多机器人运动规划问题,其中的机器人被划分成组(颜色),这样,在每个组的机器人是可互换的。每个机器人不再需要移动到特定的目标,而是移动到分配给其组的某个目标位置。我们称这个问题为k-颜色多机器人运动规划,并提供了一个专门设计的基于采样的算法来解决它。在该算法的核心是一个新的技术,其中k-颜色问题减少到几个离散的多机器人运动规划问题。这些减少将基本样本放大为机器人的大量自由放置和路径集合。我们证明了该算法的性能的情况下,圆盘机器人和多边形机器人在平面上平移的实现。我们表明,该算法成功地和有效地应对了各种具有挑战性的情况下,涉及许多机器人,而该算法的简化版本,可以被视为一个普遍的基于采样的算法的K-颜色的情况下,即使在简单的情况下失败。有趣的是,我们的算法优于PRM的标准多机器人问题,其中每个机器人都有一个独特的颜色建立的实现。

英文摘要:

We present a simple and natural extension of the multi-robot motion planning problem where the robots are partitioned into groups (colors), such that in each group the robots are interchangeable. Every robot is no longer required to move to a specific target, but rather to some target placement that is assigned to its group. We call this problem k-color multi-robot motion planning and provide a sampling-based algorithm specifically designed for solving it. At the heart of the algorithm is a novel technique where the k-color problem is reduced to several discrete multi-robot motion planning problems. These reductions amplify basic samples into massive collections of free placements and paths for the robots. We demonstrate the performance of the algorithm by an implementation for the case of disc robots and polygonal robots translating in the plane. We show that the algorithm successfully and efficiently copes with a variety of challenging scenarios, involving many robots, while a simplified version of this algorithm, that can be viewed as an extension of a prevalent sampling-based algorithm for the k-color case, fails even on simple scenarios. Interestingly, our algorithm outperforms a well established implementation of PRM for the standard multi-robot problem, in which each robot has a distinct color.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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